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Proceedings Paper

Unconditional Haar bases for Lebesgue spaces on spaces of homogeneous type
Author(s): Hugo Aimar; Osvaldo Gorosito
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Paper Abstract

We show that spaces of homogeneous type are adequate structures on which the unbalanced wavelet of Girabardi and Sweldens, can be constructed with an additional geometric control for the size of the nested partitions, given by the underlying quasi-distance. Moreover, we show that if a non- degeneracy condition is satisfied, we can still apply the Calderon-Zygmund theory in order to get the characterization of Lp spaces.

Paper Details

Date Published: 4 December 2000
PDF: 8 pages
Proc. SPIE 4119, Wavelet Applications in Signal and Image Processing VIII, (4 December 2000); doi: 10.1117/12.408644
Show Author Affiliations
Hugo Aimar, Univ. Nacional del Litoral (Argentina)
Osvaldo Gorosito, Univ. Nacional del Litoral (Argentina)

Published in SPIE Proceedings Vol. 4119:
Wavelet Applications in Signal and Image Processing VIII
Akram Aldroubi; Andrew F. Laine; Michael A. Unser, Editor(s)

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